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Standing surface waves of finite amplitude

Published online by Cambridge University Press:  28 March 2006

Iradj Tadjbakhsh  and
Joseph B. Keller
Iradj Tadjbakhsh
Affiliation:
Institute of Mathematical Sciences, New York University
Joseph B. Keller
Affiliation:
Institute of Mathematical Sciences, New York University
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Abstract

Gravity waves on the surface of an inviscid incompressible fluid of finite depth are considered. The waves are assumed to be periodic in time and in the horizontal direction. The surface profile, potential function, pressure and frequency of the motion are determined (to third order) as series in powers of the amplitude divided by the wavelength. It is found that the frequency increases with amplitude for depths less than a certain multiple of the wavelength and decreases with increasing amplitude for greater depths. Graphs of the surface profile and of the pressure as a function of depth are included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 3 , July 1960 , pp. 442 - 451
Copyright
© 1960 Cambridge University Press

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References

Penney, W. G. & Price, A. T. 1952 Phil. Trans. A, 244, 254.